(x+6)(x-5) = x²+x-30

Answer:

6x3−2x2−11x+4

Step-by-step explanation:

the numbers after the x are squared

Answer:

Median

Step-by-step explanation:

A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.

Answer:

to find the x-intercept, set y to 0.

0 = 1/5x - 7

7 = 1/5x

35 = x

(35, 0)

to find the y-intercept, set x to 0.

y = 1/5(0) - 7

y = 0 - 7

y = -7

(0, -7)

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]

And we want to find:

[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]

1)

Recall that:

[tex](f\circ g)(x)[/tex]

is the same as:

[tex]=f(g(x))[/tex]

Thus, we can substitute g(x):

[tex]=f(9-2x)[/tex]

And substitute that into f(x):

[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]

Distribute:

[tex]=72-16x-5[/tex]

Subtract and simplify:

[tex]=67-16x\\=-16x+67[/tex]

Thus:

[tex](f\circ g)(x)=-16x+67[/tex]

2)

Similarly:

[tex](g\circ f)(x)=g(f(x))[/tex]

Substitute f(x):

[tex]g(f(x))=g(8x-5)[/tex]

Substitute:

[tex]g(8x-5)=9-2(8x-5)[/tex]

Distribute:

[tex]=9-16x+10[/tex]

Simplify:

[tex]=-16x+19[/tex]

Therefore:

[tex](g\circ f)(x)=-16x+19[/tex]

Answer:

Step-by-step explanation:

5). y = 4 - x²

   Table for the points on this function will be,

   x          -2          -1          0           1           2

   y           0          3          4           3           0

  Therefore, Domain of the function will be: (-∞, ∞)

  And Range of the function will be : (-∞, 2]

7). [tex]y=2+\sqrt{x-1}[/tex]

    This function is defined from the values of x ≥ 1

   Table for the input-output values of this function is,

   x        1          2         5         10          17  

   y        2         3         4          5           6  

   Therefore, Domain of the function will be: [1, ∞)

   And Range of the function : [2, ∞)

Answer:

6

Step-by-step explanation:

This is calculated in order from left to right. This is same as: (36/2)/3

Note:

It would be calculated as below if the parenthesis was differently applied:

Answer:

6

Step-by-step explanation:

Answer:

to what?

Step-by-step explanation:

Answer:

r = 0

Step-by-step explanation:

Therefore, r = 0.

Check to see if it works:

Therefore, we know 0 is the right answer because as it says in the last step,

0 + 28 is indeed equal to 28, which the problem says is the answer.

Answer: [tex]x=0[/tex]

Flip the equation

[tex]4r+28=28[/tex]

Subtract 28 from both sides

[tex]4r+28-28=28-28\\4r=0[/tex]

Divide both sides by 4

[tex]4r/4=0/4\\x=0[/tex]

Greetings from Brasil...

We will pass the - 2 to the 1st member

2 + [1/(X + 7)] = 15/(5(X + 7))

simplifying the numerator and denominator of the 2nd member

2 + [1/(X + 7)] = 3/(X + 7)

solving the sum of the 1st member

(2X + 15)/(X + 7) = 3/(X + 7)

product of the means by extremes

(2X + 15) · (X + 7) = 3 · (X + 7)

2X² + 15X + 14X + 105 = 3X + 21

2X² + 29X - 3X + 105 - 21 = 0

solving this 2nd degree equation

Δ = b² - 4.a.c

Δ = 26² -  4 . 2 . 84

Δ = 676 - 4. 2 . 84

Δ = 4

X' = (-26 + √4)/2.2     X'' = (-26 - √4)/2.2

X' = -24 / 4     X'' = -28 / 4

Answer:

Root 37

Step-by-step explanation:

All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.

Answer:

please mark my answer brainliest

Step-by-step explanation:

Answer: [tex]\sqrt{66}[/tex]

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + [tex]\sqrt{50} ^2[/tex]  = C^2

16 +  50 = c^2

  66 = c^2

    c =[tex]\sqrt{66}[/tex]  

Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Learn more about composition functions here: brainly.com/question/10687170

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Answer:

2q

Step-by-step explanation:

The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.

Answer:

y = 1.5x

Step-by-step explanation:

Cost of pineapples:

x pounds of pineapple will cost:

This function is represented as:

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

Hey, your question is incomplete so, plz write complete question to get the required answer

Answer:

(no solutions exist)

Step-by-step explanation:

Answer:

q = 5/3

Step-by-step explanation:

-4q=2q-10

Subtract 2q from each side

-4q-2q=2q-2q-10

-6q = -10

Divide each side by -6

-6q/-6 = -10/-6

q = 5/3

Answer:

q = 3/5 or 0.6

Step-by-step explanation:

-4q = 2q - 10

0 = 6q - 10

6q = 10

q = 6/10

q = 3/5

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

Step-by-step explanation:

[tex]3x + 5 = 26[/tex]

[tex]3x = 26 - 5[/tex]

[tex]3x = 21[/tex]

[tex]x = 7[/tex]

Hope it helps u

leave a like

plz mark it as brainlist

The solution for the linear equation is x = 7.

To find the value of x in the equation 3x + 5 = 26, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation to isolate the term with x on one side.

3x + 5 - 5 = 26 - 5

3x = 21

Step 2: Divide both sides of the equation by 3 to solve for x.

(3x)/3 = 21/3

x = 7

Therefore, the value of x in the equation 3x + 5 = 26 is x = 7.

Learn more about  linear equations at:

https://brainly.com/question/1884491

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Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

Answer:

A set of all positive integers between 7 and 43.

Step-by-step explanation:

If a triangle is given with the sides a, b, c, triangle is possible when,

a + b > c

a + c > b

b + c > a

Following the same rule in a triangle having side lengths 18, 25 and l unit.

18 + 25 > l    ⇒ l < 43

18 + l > 25    ⇒ l > 7

25 + l > 18    ⇒ l > -7

Therefore, length of the third side of the triangle will be,

7 < l < 43  (A set of positive integers between 7 and 43)

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

Answer:

law is federal

Step-by-step explanation:

ik

Answer:

24.24, 24.304, 24.4, 24.54

Step-by-step explanation:

Answer:

I thought it would be 24

Answer:

x=-3

Step-by-step explanation:

5x+7+3x=-8+3x

Combine like terms

8x+7 = 3x-8

Subtract 3x from each side

8x+7-3x = 3x-8-3x

5x+7 = -8

Subtract 7 from each side

5x+7-7 = -8-7

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

Answer:

The y-intercept is (0, 5).

Step-by-step explanation:

We find the equation of the line in slope-intercept form:

y - y1 = m(x - x1)

y - 13 = 2(x - 4)

y = 2x - 8 + 13

y = 2x + 5  -  This is slope-intercept form where the graph passes through the y-axis at y = 5.